Fourth-order phase-field modeling for brittle fracture in piezoelectric materials  

作　　者：Yu TAN Fan PENG Chang LIU Daiming PENG Xiangyu LI 

机构地区：[1]State Key Laboratory of Geohazard Prevention and Geoenvironment Protection,Chengdu University of Technology,Chengdu 610059,China [2]College of Science,Chang'an University,Xi'an 710064,China [3]Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province,School of Mechanics and Aerospace Engineering,Southwest Jiaotong University,Chengdu 610031,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第5期837-856,共20页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.12072297 and12202370);the Natural Science Foundation of Sichuan Province of China(No.24NSFSC4777)。

摘　　要：Failure analyses of piezoelectric structures and devices are of engineering and scientific significance.In this paper,a fourth-order phase-field fracture model for piezoelectric solids is developed based on the Hamilton principle.Three typical electric boundary conditions are involved in the present model to characterize the fracture behaviors in various physical situations.A staggered algorithm is used to simulate the crack propagation.The polynomial splines over hierarchical T-meshes(PHT-splines)are adopted as the basis function,which owns the C1continuity.Systematic numerical simulations are performed to study the influence of the electric boundary conditions and the applied electric field on the fracture behaviors of piezoelectric materials.The electric boundary conditions may influence crack paths and fracture loads significantly.The present research may be helpful for the reliability evaluation of the piezoelectric structure in the future applications.

关 键 词：isogeometric analysis(IGA) brittle fracture fourth-order phase-field model piezoelectric solid 

分 类 号：TB34[一般工业技术—材料科学与工程] O346.1[理学—固体力学]